Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

A) A and B are supplementary

Step-by-step explanation:

we know that

For any inscribed quadrilateral in the circle , opposite angles will be supplementary

In this problem

Angle A and Angle B are supplementary angles

$m\angle A+m\angle C=180^o$

Angle B and Angle D are supplementary angles

$m\angle B+m\angle D=180^o$

therefore

The sentences that are true

A) A and B are supplementary

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Activity

hodyreva [135]

Answer:

The answers to each part are:

Part A.

The quantity of apples is one-third of the quantity of grapes.

Part B.

The quantity of apples is a quarter of the quantity of strawberries.

Part C.

The number of cherries is two-elevenths of the total fruit.

Step-by-step explanation:

To identify the answer in each case, you must remember that all the parts are equal, then:

Part A.

The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:

1 / 3 = 1/3 (one-third)

So, the quantity of apples is one-third of the quantity of grapes or the quantity of apples is three times smaller than the quantity of grapes.

Part B.

The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:

1 / 4 = 1/4 (a quarter)

In this case, the quantity of apples is a quarter of the quantity of strawberries or the quantity of apples is four times smaller than the quantity of strawberries.

Part C.

First, you must add all the part of fruit:

1 part apple
1 part orange
4 parts strawberry
2 parts cherry
3 parts grape

The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit: